三道因式分解题!急!在线等!

来源:百度知道 编辑:UC知道 时间:2024/05/14 14:09:23
1.(A-B)的平方+4AB
2.(P-4)(P+1)+3P
3.4XY的平方-4YX的平方-Y的三次方

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1 (a-b)^2+4ab
=a^2-2ab+b^2+4ab
=a^2+2ab+b^2
=(a+b)^2
2.(p-4)(p+1)+3p
=p^2-3p-4+3p
=p^2-4
=(p+2)(p-2)
3.4xy^2-4x^2y-y^3
=-y(4x^2-4xy+y^2)
=-y(2x-y)^2

1.(A-B)的平方+4AB =(A+B)^2
2.(P-4)(P+1)+3P =P^2-4=(P+2)(P-2)
3.4XY的平方-4YX的平方-Y的三次方=4XY(Y-X-Y^2)

1.(A-B)^2+4AB
=A^2-2AB+B^2+4AB
=A^2+B^2+2AB
=(A+B)^2
2.(P-4)(P+1)+3P
=P^2+P-4P-4+3P
=P^2-4
=(P+2)*(P-2)
3.4XY^2-4YX^2-Y^3
=Y(4XY-4X^2-Y^2)
=-Y(4X^2-4XY+Y^2)
=-Y(2X-Y)^2

(1) (A-B)²+4AB
=A²-2AB+B²+4AB
=A²-2AB+B²
=(A-B)²
(2)(P-4)(P+1)+3P
=P²-3P-4+3P
=P²-4
=(P+2)(P-2)
(3)4XY²-4YX²-Y³
=-Y(-4XY+4X²+Y²)
=-Y[(2X)²-2*2X*Y+Y²]
=-Y(2X-Y)²